The quality-control manager at a compact fluorescent light bulb (CFL) factory needs to determine whether the mean life of a large shipment of CFLS is equal to 7,544 hours. The population standard deviation is 700 hours. A random sample of 49 light bulbs indicates a sample mean life of 7,394 hours. At the 0.05 level of significance, is there evidence that the mean life is different from 7,544 hours? b. Compute the p-value and interpret its meaning. c. Construct a 95% confidence interval estimate of the population mean life of the light bulbs. dCompare the results of (a) and (c). What conclusions do you reach? ..... a. Let u be the population mean. Determine the null hypothesis, Ho, and the alternative hypothesis, H,. Ho: H= 7544 H,: µ# 7544 What is the test statistic? ZSTAT = (Round to two decimal places as needed.)

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The quality-control manager at a compact fluorescent light bulb (CFL) factory needs to determine whether the mean life of a large shipment of CFLS is equal to
7,544 hours. The population standard deviation is 700 hours. A random sample of 49 light bulbs indicates a sample mean life of 7,394 hours.
At the 0.05 level of significance, is there evidence that the mean life is different from 7,544 hours?
b. Compute the p-value and interpret its meaning.
c. Construct a 95% confidence interval estimate of the population mean life of the light bulbs.
d Compare the results of (a) and (c). What conclusions do you reach?
a. Let u be the population mean. Determine the null hypothesis, Ho, and the alternative hypothesis, H,.
Ho:H = 7544
H,:µ# 7544
What is the test statistic?
ZSTAT =
(Round to two decimal places as needed.)
Transcribed Image Text:The quality-control manager at a compact fluorescent light bulb (CFL) factory needs to determine whether the mean life of a large shipment of CFLS is equal to 7,544 hours. The population standard deviation is 700 hours. A random sample of 49 light bulbs indicates a sample mean life of 7,394 hours. At the 0.05 level of significance, is there evidence that the mean life is different from 7,544 hours? b. Compute the p-value and interpret its meaning. c. Construct a 95% confidence interval estimate of the population mean life of the light bulbs. d Compare the results of (a) and (c). What conclusions do you reach? a. Let u be the population mean. Determine the null hypothesis, Ho, and the alternative hypothesis, H,. Ho:H = 7544 H,:µ# 7544 What is the test statistic? ZSTAT = (Round to two decimal places as needed.)
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